Dynamical Behavior of dilaton in de Sitter space

Super algebra and Harmonic Oscillator in Anti de Sitter space

The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...

Dilatonic Tachyon in Kerr-de Sitter Space

We study the dynamical behavior of the dilaton in the background of threedimensional Kerr-de Sitter space which is inspired from the low-energy string effective action. The Kerr-de Sitter space describes the gravitational background of a point particle whose mass and spin are given by 1−M and J and its curvature radius is given by l. In order to study the propagation of metric, dilaton, and Kal...

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

Cohomogeneity One Anti De Sitter Space H_1^3

Dilaton Domain Walls and Dynamical Systems

Domain wall solutions of d-dimensional gravity coupled to a dilaton field σ with an exponential potential Λe are shown to be governed by an autonomous dynamical system, with a transcritical bifurcation as a function of the parameter λ when Λ < 0. All phase-plane trajectories are found exactly for λ = 0, including separatrices corresponding to walls that interpolate between adSd and adSd−1 × R, ...